Among the following molecules / ions C_2^{2-} | vedclass

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Question

$	extbf{(B) } C_2^{2-}: \sigma_{1s}^2, \sigma^*_{1s}{^2}, \sigma_{2s}^2, \sigma^*_{2s}{^2}, [\pi_{2p_x}^2 = \pi_{2p_y}^2], \sigma_{2p_z}^2. 	ext{ Bo

Vedclass · Accepted Answer

$C_2^{2-}$

Vedclass · Answer

$	extbf{(B) } C_2^{2-}: \sigma_{1s}^2, \sigma^*_{1s}{^2}, \sigma_{2s}^2, \sigma^*_{2s}{^2}, [\pi_{2p_x}^2 = \pi_{2p_y}^2], \sigma_{2p_z}^2. 	ext{ Bond Order (B.O.)} = \frac{10 - 4}{2} = 3 	ext{ (diamagnetic)}.$
$N_2^{2-}: \sigma_{1s}^2, \sigma^*_{1s}{^2}, \sigma_{2s}^2, \sigma^*_{2s}{^2}, \sigma_{2p_z}^2, [\pi_{2p_x}^2 = \pi_{2p_y}^2], [\pi^*_{2p_x}{^1} = \pi^*_{2p_y}{^1}]. 	ext{ B.O.} = \frac{10 - 6}{2} = 2 	ext{ (paramagnetic)}.$
$O_2^{2-}: \sigma_{1s}^2, \sigma^*_{1s}{^2}, \sigma_{2s}^2, \sigma^*_{2s}{^2}, \sigma_{2p_z}^2, [\pi_{2p_x}^2 = \pi_{2p_y}^2], [\pi^*_{2p_x}{^2} = \pi^*_{2p_y}{^2}]. 	ext{ B.O.} = \frac{10 - 8}{2} = 1 	ext{ (diamagnetic)}.$
$O_2: \sigma_{1s}^2, \sigma^*_{1s}{^2}, \sigma_{2s}^2, \sigma^*_{2s}{^2}, \sigma_{2p_z}^2, [\pi_{2p_x}^2 = \pi_{2p_y}^2], [\pi^*_{2p_x}{^1} = \pi^*_{2p_y}{^1}]. 	ext{ B.O.} = \frac{10 - 6}{2} = 2 	ext{ (paramagnetic)}.$
$	ext{Since bond length is inversely proportional to bond order, } C_2^{2-} 	ext{ with B.O. } = 3 	ext{ has the shortest bond length and is diamagnetic.}$

Among the following molecules / ions $C_2^{2-}, N_2^{2-}, O_2^{2-}, O_2$,which one is diamagnetic and has the shortest bond length?

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